Answer: It would be decreased by 1/36
Explanation:
According to Newton's law of Gravitation, the magnitude of the gravitational force [tex]F[/tex] exerted between two bodies of masses [tex]m[/tex] and [tex]M[/tex] and separated by a distance [tex]r[/tex] is equal to the product of their masses and inversely proportional to the square of the distance:
[tex]F=G\frac{mM}{r^2}[/tex] (1)
Where [tex]G[/tex] is the Gravitational Constant
Now, if the distance between both bodies is [tex]6 r[/tex], equation (1) becomes:
[tex]F=G\frac{mM}{(6r)^2}[/tex] (2)
[tex]F=\frac{1}{36} G\frac{mM}{r^2}[/tex] (3)
This means the magnitude of the gravitational force decreases by [tex]\frac{1}{36}[/tex]
